Using compatible numbers What is 44.5 x 11 equal to?

What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth

ipn [44]

Answer:

7

Step-by-step explanation:

First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3

Which gives you 2/3 (9x - 6)

Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3

then you divide 6/3 with 2

Getting 2 (3x - 2)

The use the distributive law

2 x 3x - 2 x 2

simplify the equation

6x - 4

expand 4 (x +2) + 2: 4x + 10

which then equals 6x-4=4x+10

add 4 to both sides

6x-4+4=4x+10+4

simplify

6x=4x+14

subtract 4x from both sides

simplify again

2x=14

divide both sides by 2

2x/2 = 14/2

simplify one last time and get the answer

x=7

8 0

3 years ago

In a certain Algebra 2 class of 30 students, 18 of them play basketball and 9 of them

marshall27 [118]

Probability that a student will play both is 7/30

Step-by-step explanation:

Total students = 30

No. of students who play basketball = 18

Probability that a student will play basketball = 18/30

= 3/5

No. of students who play baseball = 9

Probability that a student will play baseball = 9/30

= 3/10

No. of students who play neither sport = 10

Probability that a student will play neither sport = 10/30

= 1/3

To find :

Probability that a student will play both = p(student will play both)

No.of students who play sport = 30 - 10

= 20

Out of 20 students 18 play basketball and 9 play baseball.

So, some students play both the sports.

No. of students who play both sports = 18 + 9 - 20

= 7

p(student will play both) = 7/30

Probability that a student will play both is 7/30

3 0

4 years ago

According to a state law for vehicles traveling on state roads, the maximum total weight of a vehicle and its contents depends o

Alex787 [66]

Inequalities are used to show the relationship between unequal expressions.

The inequalities that represent the maximum weights are:

2 axles - $x \le 40000$ .
3 axles - $x \le 60000$ .
4 axles - $x \le 80000$ .

Let the maximum weight be represented with x

In inequality, maximum means less than or equal to i.e. $\le$

(a) 2 axles

The maximum weight, here is 40000.

So, the inequality is:

$x \le 40000$

(b) 3 axles

The maximum weight, here is 60000.

So, the inequality is:

$x \le 60000$

(c) 4 axles

The maximum weight, here is 80000.

So, the inequality is:

$x \le 80000$

See attachment for the graphs of each inequality

Read more about inequalities at:

brainly.com/question/11612965

6 0

3 years ago

Latoya, Milan, and Hong served a total of 154 orders Monday at the school cafeteria. Latoya served 10 more orders than Milan, Ho

Tems11 [23]

Orders served by Latoya, Milan and Hong are 34, 24, 96 respectively.

Solution:

Given, Latoya, Milan, and Hong served a total of 154 orders Monday at the school cafeteria.

Let orders served by Latoya ne a, orders served by Milan be b and orders served by hong be c.

Then, a + b + c = 154 ⇒ (1)

Latoya served 10 more orders than Milan, ⇒ a = b + 10

Hong served 4 times as many orders as Milan. ⇒ c = 4b

We have to find how many orders did they each serve?

Now, substitute a and c values in (1)

(b + 10) + b + 4b = 154

b + b + 4b = 154 – 10

6b = 144

b = 24

Then, a = 24 + 10 = 34 and c = 4 x 24 = 96.

Hence, orders served by Latoya, Milan and Hong are 34, 24, 96 respectively.

5 0

3 years ago

Please help . What is the scale factor of the dilation?

larisa86 [58]

The scale factor is 1/2.

6 0

3 years ago